All categories

3 years ago

Conditinal probability question. please help! :)

Mathematics

1 answer:

TEA [102]3 years ago

6 0

Answer:

P(A|B) = 1 / 6

Step-by-step explanation:

Assuming two fair sided dice with faces numbered 1 to 6.

By intuition, there can only be 6 possible outcomes, so probability is 1/6.

Illustration how to use conditional probability.

Given two events A, B, following is the equation of conditional probability

that A happens given B has already happened and observed.

P(A|B) = P( A intersect B ) / P(B)

In the given problem,

A = casting a double-six

B = casting a double

P(A) = (1 / 6) * (1 / 6) = 1/36

P(B) = (6/6) * (1/6) = 1/6

P(A|B) = 1/36 / (1/6) = 1/6

You might be interested in

Draw a number line that shows two equivalent fractions.label your number line and explain how you know the fractions are equival

Anastasy [175]

Here is a photo of what I chose as my equivalent numbers (Red represents my work, blue represents which step comes next, and highlighter shows what the answer is). My reasoning that 1/2 and 5/10 are equivalent is because 5/10 divided by 5/5 is 1/2.

8 0

4 years ago

Melanie is making a piece of jewelry that is in the shape of a right triangle. The two shorter sides of the piece of jewelry are

ollegr [7]

Using Pythagoras’ theorem a2 + b2 = c2 you can find out the third (longest) side. (6x6) + (8x8) = 100 (the square root of 100 is 10) so ur final sum is 6+8+10 = 24 mm

5 0

2 years ago

if n represent number than write an expression for three times the difference of the number amd six increased by four times the

lorasvet [3.4K]

Let n be the number. The difference of the number and six is n-6. Then three times the difference of the number and six is 3·(n-6). This number 3·(n-6) increased by four times the number n, then

3·(n-6)=4·n.

Solve it:

3·n-3·6=4n,

3n-4n=18,

-n=18,

n=-18.

Answer: n=-18 and expression is 3·(n-6)=4·n.

6 0

3 years ago

Claire is going to an amusement park. The price of admission into the park is $30, and once she is inside the park, she will hav

nydimaria [60]

Answer:

1. $66

2. 30 + 4r

Step-by-step explanation:

Let

Price of admission into the park=$30

Price of every ride in the park=$4

Number of rides =x

Total cost of going to the park= 30+4x

1. How much money would Claire have to pay in total if she goes on 9 rides

Total cost of going to the park= 30+4x

When x=9

=30+4x

= 30 + 4(9)

=30 + 36

=$66

2. How much would she have to pay if she goes on r rides?

When x=r

Total cost of going to the park= 30+4x

= 30 + 4(r)

=30 + 4r

4 0

3 years ago

Read 2 more answers

One fifth of a number plus three times the number is equal to 42 Moré than twice the number. Whats the number

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

Let number = x

(1/5 of x) + (3 * x) = 42 + (2 * x)

x/5 + 3x = 42 + 2x

1/5x + 3x - 2x = 42

1 1/5x = 42

6/5 x = 42

x = 42 ÷ 6/5

x = 42 * 5/6

x = 210 / 6

x = 35

The number is 35

5 0

3 years ago

Conditinal probability question. please help! :)​

Conditinal probability question. please help! :)